If x\ tan{{60}^\circ}cos{{60}^\circ}=sin{{60}^\circ}cot{{60}^\circ}, then x

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Solution

Q.
$I f x t a n 60 ° c o s 60 ° = s i n 60 ° c o t 60 °, t h e n x =$

1 $\cos 30 °$

2 $\tan 30 °$

3 $\sin 30 °$

4 $\cot 30 °$

Ans.
(2)

Given expression is

$x \tan 60 ° c o s 60 ° = s i n 60 ° c o t 60 ° \Rightarrow x \times \sqrt{3} \times \frac{1}{2} = \frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{3}} \Rightarrow x \times \frac{\sqrt{3}}{2} = \frac{1}{2} \Rightarrow x = \frac{1}{\sqrt{3}} = t a n 30 °$

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